Poisson geometry of differential invariants of curves in some nonsemisimple homogeneous spaces

DOI10.1090/S0002-9939-05-07998-0zbMath1083.37053OpenAlexW1685057212WikidataQ115290132 ScholiaQ115290132MaRDI QIDQ5713199

Gloria Marí Beffa

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07998-0

zbMATH Keywords

homogeneous spacesHamiltonian structuresinvariant evolutions of curvesinfinite-dimensional Poisson geometry

Mathematics Subject Classification ID

Related Items (18)

Integrable motions of curves in \(S^{1} \times \mathbb R\) ⋮ Discrete moving frames and discrete integrable systems ⋮ Generating differential invariants ⋮ Symplectic invariants for curves and integrable systems in similarity symplectic geometry ⋮ The generating set of the differential invariant algebra and Maurer-Cartan equations of a (2+1)-dimensional Burgers equation ⋮ Geometric affine symplectic curve flows in \(\mathbb R^4\) ⋮ A nonlocal Poisson bracket of the sine-Gordon model ⋮ Poisson structures for geometric curve flows in semi-simple homogeneous spaces ⋮ Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry ⋮ Discrete moving frames on lattice varieties and lattice-based multispaces ⋮ On generalizations of the pentagram map: discretizations of AGD flows ⋮ Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds ⋮ Unnamed Item ⋮ Integrable systems associated to curves in flat Galilean and Minkowski spaces ⋮ Integrable motions of curves in projective geometries ⋮ Hamiltonian evolution of curves in classical affine geometries ⋮ Multi-component Toda lattice in centro-affine \(\mathbb{R}^n\) ⋮ Remarks on KdV-type flows on star-shaped curves

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